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What is the relationship between faces edges vertices of polyhedra?
Wiki User
∙ 12y ago
The Euler characteristic for simply connected polyhedra isF + V = E + 2
where F = # faces, V = # vertices and E = # edges.
Wiki User
∙ 8y ago
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If faces plus edges equals vertices plus what number follows?
There is no answer to the question as it appears. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
Is faces plus corners equals edges?
No. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
If a shape has 12 edges 6 faces and 5 vertices what shape is it?
A very strange shape. The Euler characteristic for polyhedra requires that Vertices-Edges+Faces=2. That condition is not met here.
What is the face plus vertices plus edges?
Nothing, in particular. According to the Euler characteristic, regular polyhedra satisfy the following: Face + Vertices = Edges + 2 This gives Face + Vertices + Edges = 2 + 2*Edges = 2*(1+Edges) which, since it has the variable "edges" on the RHS as well, is not particularly helpful nor informative.
What is the relationship between faces vertices and edges on a 3D shape?
Their relationship is modelled by the equation F + V = E + 2, where F is the number of faces, V is the number of vertices, and E is the number of edges.
Is there a relationship between the number of faces edges and vertices of polyhedra?
For convex polyhedra it is called the Euler characteristic.This requires that V - E + F = 2where V = number of vertices,E = number of edges andF = number of faces.
What is the relationship between edges faces and vertices's?
For a simply connected polyhedra, the Euler characteristic requires that E + 2 = F + V
If a polyhedron has 10 more edges than vertices how many faces does it have?
For all polyhedra: vertices + faces = edges + 2 The given fact is: edges = vertices + 10 → vertices + faces = vertices + 10 + 2 → faces = 12
For what polyhedra does Euler's formula Faces plus vertices equals edges plus two apply?
It applies to simply connected convex polyhedra.
If faces plus edges equals vertices plus what number follows?
There is no answer to the question as it appears. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
Is faces plus corners equals edges?
No. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
What is the theory called of the relationship between vertices faces and edges?
Topology.
What is the relationship between faces vertices and edges in prisms?
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
How many less edges than vertices faces does an octahedron?
According to the Euler characteristic which applies to all simply connected polyhedra,# edges + 2 = # vertices + # faces. So the answer is 2 fewer.
If a shape has 12 edges 6 faces and 5 vertices what shape is it?
A very strange shape. The Euler characteristic for polyhedra requires that Vertices-Edges+Faces=2. That condition is not met here.
What is the face plus vertices plus edges?
Nothing, in particular. According to the Euler characteristic, regular polyhedra satisfy the following: Face + Vertices = Edges + 2 This gives Face + Vertices + Edges = 2 + 2*Edges = 2*(1+Edges) which, since it has the variable "edges" on the RHS as well, is not particularly helpful nor informative.
What is the relationship between faces vertices and edges on a 3D shape?
Their relationship is modelled by the equation F + V = E + 2, where F is the number of faces, V is the number of vertices, and E is the number of edges.
